1. S is a straight line that cuts through f and t
2. Given
3. ∠5 ≅ ∠7
4. ∠7 ≅ ∠3 Corresponding angles
Solution:
Step 1: Given
S is a straight line that cuts through f and t
Step 2: Given
∠3 ≅ ∠5
Alternate interior angles are equal.
Step 3: By Vertical angle theorem
Vertically opposite angles are congruent.
∠5 ≅ ∠7
Step 4: Corresponding angles
∠7 and ∠3 are corresponding angles.
∠7 ≅ ∠3
Step 5: Corresponding angles theorem
f || t
Hence proved.
